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Finding the Third Proportional to 492,918 and 1,009,146

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Solution

The third proportional to 492,918 and 1,009,146 is: 2,066,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,918 : 1,009,146 = 1,009,146 : x
  2. Step 2: Convert to fraction form
    492,918/1,009,146 = 1,009,146/x
  3. Step 3: Cross multiply
    492,918x = 1,009,146 × 1,009,146
  4. Step 4: Simplify right side
    492,918x = 1,018,375,649,316
  5. Step 5: Solve for x
    x = 1,018,375,649,316/492,918
  6. Step 6: Final answer
    x = 2,066,014.33

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.